I had a simulation design for triangle antenna (Sierpinski -first iteration) and circular patch antenna. I need to find the equivalent circuit for both to analysis both of them.
If you plot the impedance on the complex plane, or the real and imaginary parts against frequency,you may be able to identify parts of the curve that behave as loaded series or parallel resonators, or capacitors or inductors. You may be able to assemble series resonators in parallel or parallel resonators in series if they are not significantly coupled to each other, or use different models over different frequency ranges.
No, but you will need to understand how a capacitive or inductive or series resonant or shunt resonant load with loss varies with frequency on an impedance chart or a Smith chart. You can calculate how 1/jwC (the impedance of a capacitor) or jwL (the impedance of an inductor) vary with frequency (w/(2pi)) and plot on impedance diagrams or Smith chart using excel, for instance. By trial and error you may be able to get curves similar to the simulated ones.